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In this paper, we generalize the Quantum Kinetic Monte Carlo (QKMC) method ofthe Schrodinger equation, which was first proposed by [Z. Cai and J. Lu. SIAMJ. Sci. Comput., 40(3):B706-B722, 2018] to the Lindblad equation. Thisalgorithm makes full use of the tensor product structure of the matrices in theLindblad equation, thus significantly reducing the storage cost, and cancalculate a more extensive system than the existing methods. We demonstrate themethod in the framework of the dissipative Ising model, and numericalexperiments verify the validity of the method and the error analysis.

A Quantum Kinetic Monte Carlo Method For Lindblad Equation